On Thu, July 14, 2011 9:46 am, David Corking wrote: > (Aspiring electrical technicians will probably also want to extend the > concept to complex numbers.)
Addition and subtraction of complex numbers are easier in rectangular coordinates than polar coordinates. Multiplication and division are the opposite. a + bi + c +di = (a + c) + (b + d)i 1/(r,theta) = (1/r, -theta) But it can be done, of course. 1/(a + bi) = (a - bi)/(a^2 + b^2) (a + bi)/(c + di) = (a + bi)(c - di)/(c^2 + d^2) = ((ac + bd) +(bc - ad)i/(c^2 + d^2) I should do these up in Turtle Art, both as illustrations of coordinate systems and as arithmetic, and add them to my Tutorials. http://wiki.sugarlabs.org/go/Activities/TurtleArt/Tutorials#Mokurai.27s_Tutorials > Thanks for your patience. David -- Edward Mokurai (默雷/धर्ममेघशब्दगर्ज/دھرممیگھشبدگر ج) Cherlin Silent Thunder is my name, and Children are my nation. The Cosmos is my dwelling place, the Truth my destination. http://wiki.sugarlabs.org/go/Replacing_Textbooks _______________________________________________ IAEP -- It's An Education Project (not a laptop project!) IAEP@lists.sugarlabs.org http://lists.sugarlabs.org/listinfo/iaep